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Finding the Fourth Proportional to 493,063.31, 680,309.92 and 340,052.59

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Solution

The fourth proportional to 493,063.31, 680,309.92 and 340,052.59 is: 469,191.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,063.31 : 680,309.92 = 340,052.59 : x
  2. Step 2: Convert to fraction form
    493,063.31/680,309.92 = 340,052.59/x
  3. Step 3: Cross multiply
    493,063.31x = 680,309.92 × 340,052.59
  4. Step 4: Simplify right side
    493,063.31x = 231,341,147,508.44
  5. Step 5: Solve for x
    x = 231,341,147,508.44/493,063.31
  6. Step 6: Final answer
    x = 469,191.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.